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Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy

Published online by Cambridge University Press:  21 October 2008

Daniel Spirn  and
Xiaodong Yan
Daniel Spirn
Affiliation:
University of Minnesota, USA. spirn@math.umn.edu
Xiaodong Yan
Affiliation:
University of Connecticut, USA. xiaodong@math.uconn.edu
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Abstract

For external magnetic field hex ≤ Cε–α, we prove that a Meissner state solution for the Chern-Simons-Higgs functional exists. Furthermore, if the solution is stable among all vortexless solutions, then it is unique.

Keywords

Chern-Simons-Higgs theorysuperconductivityuniquenessMeissner solution
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 1 , January 2010 , pp. 23 - 36
Copyright
© EDP Sciences, SMAI, 2008

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